66715444224 has 1056 divisors, whose sum is σ = 247208951808. Its totient is φ = 17031168000.

The previous prime is 66715444223. The next prime is 66715444259. The reversal of 66715444224 is 42244451766.

It is a happy number.

66715444224 is a `hidden beast` number, since 6 + 67 + 1 + 544 + 42 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a self number, because there is not a number n which added to its sum of digits gives 66715444224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66715444223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 939654109 + ... + 939654179.

Almost surely, 2^66715444224 is an apocalyptic number.

66715444224 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66715444224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123604475904).

66715444224 is an abundant number, since it is smaller than the sum of its proper divisors (180493507584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66715444224 is a wasteful number, since it uses less digits than its factorization.

66715444224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 154 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The spelling of 66715444224 in words is "sixty-six billion, seven hundred fifteen million, four hundred forty-four thousand, two hundred twenty-four".